Percentages + system of equations - practice problems - page 4 of 13
Number of problems found: 243
- Three groups
The company's employees are divided into three groups. The average salary of the first group, which includes 12% of the company's total number of employees, is CZK 40,000; in the second group, CZK 35,000; and in the third group, CZK 25,000. The average sa - Solution volume
Calculate the volume of 50% KI solution and the volume of 20% KI solution needed to prepare 180 g of 30% KI solution. The solution densities are known: ρ50% = 1.54575 g / cm3, ρ20% = 1.16597 g / cm³. - Fresh juice
The seller offers fresh-squeezed juice, which the customer either pours into his own containers or sells in liter plastic bottles, which the customer buys from him. A liter of juice costs 40 CZK more than a bottle. There is no charge for turning the juice - Helena Jane savings
Helen had 20% more savings than Jane. They have saved 1804 CZK. How much have Helen and Jane held? - Orchard sapling planting
The orchard was planted over three years. In the second year, 15% more saplings were planted than in the first year. In the third year, 40% fewer saplings were planted than in the first and second years combined. A total of 4,128 saplings were planted. Ho - The water barrel
The water barrel weighs 122 kg. If we pour 75% of the water out of it, it will weigh 35 kg. What is the weight of the barrel? - Grapes harvesting
The foreman harvested grapes for three days, a total of 2,510 kg. On the second day, they peeled 480 kilograms less than the first day, the third day, and 25% more than the first day. How many kilograms of grapes did the part-timers pick the second day? - Seller weekend earnings
During the holidays, the seller earned € 21,060. He earned 40% more on Saturday than on Friday. He earned € 2,500 less on Sunday than on Saturday. How many euros did the seller make on Saturday? - Part-time workers
Three part-time workers received CZK 1,235 for their work. The first received 20% less than the second, and the third received 45 CZK more than the second. Determine how many crowns (CZK) each of them received. - Baking cakes
Anička and Ema baked cakes together. Ema baked one third more cakes than Anička. Anička kept one third of the cakes for herself, Ema kept half of the cakes she baked. The remaining 12 cakes they gave to their parents. 1) Determine how many cakes Anička an - Cyclist distance calculation
The cyclist rode 44 km and 400 m in three days. In the first hour, he covered the course 5% longer than in the second hour, and in the third hour, he covered 1 km more than in the first hour. How many km did he travel in the third hour? - Sapling planting calculation
During the afforestation, 2,950 saplings were planted in three days. On the second day, 25% more saplings were planted than on the first day, and on the third day, 15% more than on the second day. How many saplings were planted on each day? - Caramel sharing calculation
Annie and Jane shared 21 caramels, while Jane had 40% of what Annie received. How many caramels did she get? - Class pupil distribution
There are a total of 56 pupils in three classes in the rural school. In the second grade, there are 20% fewer pupils than in the first grade, and in the third grade, there are 25% more pupils than in the second grade. How many pupils are there in each cla - Pupil walking distance
Pupils walked 49 km in three days. The next day they ran 20% more than the first day, and on the third day, they ran 2 km less than the second. How many kilometers have they traveled each day? - The dealer
The dealer planned to sell 40% of the cars he had in stock in May. However, he sold 20 fewer cars, i.e., only 15% of cars. a) How many cars did he have in stock? b) How many cars did he sell in May? - Worker reward distribution Three workers received a reward of CZK 12,600 for their joint work. They divided the money according to the work done. The first received 20% less than the second, and the third received 50% more than the first. How much did each of them get?
- Worker reward distribution Three co-workers earned a total of CZK 4,720 for repair work. They split the money so that the first got 20% more than the second, and the third got 50% more than the second. Thus, everyone got CZK 4,720.
- Company employee distribution
The company has 250 employees. There are 30 more men than women. How many men work in the company, and how many women? - Employee bonus calculation
The company has 1,440 employees (men and women). 18.75% of all men and 22.5% of all women received bonuses for above-average results. A total of 20% of employees were rewarded with bonuses. How many men and how many women are employed in the company?
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